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Finding the Fourth Proportional to 10,769.88, 16,158 and 3,375.12

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Solution

The fourth proportional to 10,769.88, 16,158 and 3,375.12 is: 5,063.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.88 : 16,158 = 3,375.12 : x
  2. Step 2: Convert to fraction form
    10,769.88/16,158 = 3,375.12/x
  3. Step 3: Cross multiply
    10,769.88x = 16,158 × 3,375.12
  4. Step 4: Simplify right side
    10,769.88x = 54,535,188.96
  5. Step 5: Solve for x
    x = 54,535,188.96/10,769.88
  6. Step 6: Final answer
    x = 5,063.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.